Question

Kasey asked 6 of her friends how many episodes of their favorite show they

watched during the quarantine. Kasey determined the following measures about
the number of episodes watched by the 6 friends. Mean: 10, Median: 9.5, and
Range: 14. The three friends who watched the most episodes over the quarantine
watched 18, 13, and 12. How many episodes did the other 3 friends watch?*
O A. 4,6,7
B. 4, 4,7
C. 5, 8, 9
O D. 2,3,5

Answer 1

A

Explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10 Multiply each side by 6

43 + m = 10 * 6

43 + m = 60 Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!